A classification of inverse transversals

Thomas Scott Blyth; MHA Santos

A classification of inverse transversals

Thomas Scott Blyth
, MHA Santos

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A natural characterization of known types of inverse transversal leads to the introduction of several new types, which we characterize in a similar natural way. Relations between the various types produce a general classification. We also determine for which types of inverse transversal considered the congruence extension property holds.

Original language	English
Pages (from-to)	611-624
Number of pages	14
Journal	Communications in Algebra
Volume	29
Publication status	Published - 2001

Keywords

regular semigroup
inverse transversal
ORDERED REGULAR-SEMIGROUPS
IDEMPOTENTS

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title = "A classification of inverse transversals",

abstract = "A natural characterization of known types of inverse transversal leads to the introduction of several new types, which we characterize in a similar natural way. Relations between the various types produce a general classification. We also determine for which types of inverse transversal considered the congruence extension property holds.",

keywords = "regular semigroup, inverse transversal, ORDERED REGULAR-SEMIGROUPS, IDEMPOTENTS",

author = "Blyth, \{Thomas Scott\} and MHA Santos",

year = "2001",

language = "English",

volume = "29",

pages = "611--624",

journal = "Communications in Algebra",

issn = "0092-7872",

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TY - JOUR

T1 - A classification of inverse transversals

AU - Blyth, Thomas Scott

AU - Santos, MHA

PY - 2001

Y1 - 2001

N2 - A natural characterization of known types of inverse transversal leads to the introduction of several new types, which we characterize in a similar natural way. Relations between the various types produce a general classification. We also determine for which types of inverse transversal considered the congruence extension property holds.

AB - A natural characterization of known types of inverse transversal leads to the introduction of several new types, which we characterize in a similar natural way. Relations between the various types produce a general classification. We also determine for which types of inverse transversal considered the congruence extension property holds.

KW - regular semigroup

KW - inverse transversal

KW - ORDERED REGULAR-SEMIGROUPS

KW - IDEMPOTENTS

M3 - Article

SN - 0092-7872

VL - 29

SP - 611

EP - 624

JO - Communications in Algebra

JF - Communications in Algebra

ER -

A classification of inverse transversals

Abstract

Keywords

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